12050933760 has 576 divisors, whose sum is σ = 45075139200. Its totient is φ = 3084189696.

The previous prime is 12050933753. The next prime is 12050933779. The reversal of 12050933760 is 6733905021.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72161197 + ... + 72161363.

It is an arithmetic number, because the mean of its divisors is an integer number (78255450).

Almost surely, 2^12050933760 is an apocalyptic number.

12050933760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12050933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537569600).

12050933760 is an abundant number, since it is smaller than the sum of its proper divisors (33024205440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12050933760 is an equidigital number, since it uses as much as digits as its factorization.

12050933760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 12050933760 in words is "twelve billion, fifty million, nine hundred thirty-three thousand, seven hundred sixty".